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Furkat [3]
2 years ago
5

A 28 foot ladder is leaning against a building. If the

Mathematics
1 answer:
viva [34]2 years ago
3 0

Answer:

the height of the building would be about 27.111 or rounded 27

Step-by-step explanation:

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Emily would like to buy some new
bonufazy [111]

Answer:

$14,277.80

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

n = number of times compounded yearly.

t = time of investment in years

For this case;

P = $7,400

t = 8 years

n = 4 (quarterly)

r = 9.5% = 0.095

Using equation 1.

A = $7,400(1+0.095/4)^(4×7)

A = $7,400(1.02375)^(28)

A = $7,400(1.929432606035)

A = $14,277.80

final amount/value after 8 years A =$14,277.80

6 0
3 years ago
In the figure, GK bisects FGH
bija089 [108]

Answer:

w = 7

Step-by-step explanation:

Given:

m<FGK = (7w + 3)°

m<FGH = 104°

angle bisector of <FGH = GK

Required:

Value of w

SOLUTION:

Since GK bisects angle FGH, it divides the angle into two equal parts. Therefore, the following equation can be generated to find the value of w:

m<FGH = 2*m<FGK

104 = 2*(7w + 3) (substitution)

Divide both sides by 2

\frac{104}{2} = \frac{2*(7w + 3)}{2}

52 = 7w + 3

Subtract 3 from each side

52 - 3 = 7w + 3 - 3

49 = 7w

Divide both sides by 7

\frac{49}{7} = \frac{7w}{7}

7 = w

w = 7

8 0
3 years ago
An arithmetic sequence is represented in the following table. Enter the missing term of the sequence.
bija089 [108]

a_1=-9\\\\a_2=a_1-8\to a_2=-9-8=-17\\\\a_3=a_2-8\to a_3=-17-8=-25\\\\a_4=a_3-8\to a_4=-25-8=-33\\\\\text{The general term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\a_1-first\ term\\d-common\ difference\\\\\text{We have}\ a_1=-9\ \text{and}\ d=-8.\ \text{Substitute:}\\\\a_n=-9+(n-1)(-8)=-9-8n+8=-8n-1\\\\\text{Put n = 43 and calculate}\ a_{43}\\\\a_{43}=-8(43)-1=-344-1=-345\\\\Answer:\ \boxed{?=-345}

4 0
3 years ago
Ari decides to run 8.5 kilometers this weekend. He jogs 8.9 laps around the running track on Saturday. How many more kilometers
Eduardwww [97]

Answer:

D. y = 8.9 ÷ 0.4​

Step-by-step explanation:

I hope this helps

7 0
3 years ago
In 2005 there were 1352 students in 2006 there were 1014 students work out the decrease in the number of students
Eduardwww [97]
I’m. It sure but I need points so sorry
6 0
3 years ago
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